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$\frac{4x^3y^6}{10x^3y^3}$

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Factor by grouping

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Q.

\frac{4x^3y^6}{10x^3y^3}

Factor out common terms: Short reasoning: Factor out common terms in the numerator and the denominator. $\newline$ Calculation: $\frac{4x^3y^6}{10x^3y^3} = \frac{4}{10} \cdot \frac{x^3}{x^3} \cdot \frac{y^6}{y^3}$ $\newline$ Math error check:
Simplify each fraction: Short reasoning: Simplify each fraction. $\newline$ Calculation: $\frac{4}{10} = 0.4$ , $\frac{x^3}{x^3} = 1$ , $\frac{y^6}{y^3} = y^{6-3} = y^3$ $\newline$ Math error check:
Multiply simplified fractions: Short reasoning: Multiply the simplified fractions. $\newline$ Calculation: $0.4 \cdot 1 \cdot y^3 = 0.4y^3$ $\newline$ Math error check:

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